{
  "id": "0801.1371",
  "version": "v2",
  "published": "2008-01-09T08:46:49.000Z",
  "updated": "2008-02-13T07:25:22.000Z",
  "title": "Central and $L^p$-concentration of 1-Lipschitz maps into $\\mathbb{R}$-trees",
  "authors": [
    "Kei Funano"
  ],
  "comment": "18pages",
  "categories": [
    "math.PR",
    "math.MG"
  ],
  "abstract": "In this paper, we study the L\\'{e}vy-Milman concentration phenomenon of 1-Lipschitz maps from mm-spaces to $\\mathbb{R}$-trees. Our main theorems assert that the concentration to $\\mathbb{R}$-trees is equivalent to the concentration to the real line.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-13T07:25:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "53C23"
    ],
    "keywords": [
      "main theorems assert",
      "concentration phenomenon",
      "real line",
      "equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}